Calabuig Rodriguez, JM.; Juan Blanco, MA.; Sánchez Pérez, EA. (2012). Spaces of p-integrable functions with respect to a vector measure defined on a delta-ring. Operators and Matrices. 6(2):241-262. https://doi.org/10.7153/oam-06-17
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/90960
Title:
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Spaces of p-integrable functions with respect to a vector measure defined on a delta-ring
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Author:
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Calabuig Rodriguez, Jose Manuel
Juan Blanco, María Aránzazu
Sánchez Pérez, Enrique Alfonso
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UPV Unit:
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Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada
Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
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Issued date:
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Abstract:
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[EN] The lattice properties of the Banach lattices
Lp(m) and Lpw(m) of p-integrable real-valued functions and weakly p-integrable
real-valued functions with respect to a vector measure m defined on a delta-ring are ...[+]
[EN] The lattice properties of the Banach lattices
Lp(m) and Lpw(m) of p-integrable real-valued functions and weakly p-integrable
real-valued functions with respect to a vector measure m defined on a delta-ring are studied. The relation between these two spaces, the study of the continuity and some
kind of compactness properties of certain multiplication operators between
different spaces Lp and/or Lqw and the representation theorems of general
Banach lattices via these spaces play a fundamental role.
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Subjects:
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Banach lattice
,
Vector measure
,
Integration
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Copyrigths:
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Cerrado |
Source:
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Operators and Matrices. (issn:
1846-3886
)
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DOI:
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10.7153/oam-06-17
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Publisher:
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ELEMENT
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Publisher version:
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https://doi.org/10.7153/oam-06-17
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Project ID:
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info:eu-repo/grantAgreement/MICINN//MTM2008-04594/ES/ANALISIS DE FOURIER CLASICO, MULTILINEAL Y VECTORIAL/
info:eu-repo/grantAgreement/Generalitat Valenciana//GV%2F2009%2F102/ES/Espacios de funciones e integracion en espacios de banach/
info:eu-repo/grantAgreement/MICINN//MTM2009-14483-C02-02/ES/Integracion Bilineal, Medidas Vectoriales Y Espacios De Funciones De Banach./
info:eu-repo/grantAgreement/UPV//PAID-06-08-3093/
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Thanks:
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J.M. Calabuig and M.A. Juan were supported by Ministerio de Ciencia e Innovaci´on (Spain)
(project MTM2008-04594) and Generalitat Valenciana (project GV/2009/102). E.A. S´anchezP´erez
was supported by Ministerio de Ciencia ...[+]
J.M. Calabuig and M.A. Juan were supported by Ministerio de Ciencia e Innovaci´on (Spain)
(project MTM2008-04594) and Generalitat Valenciana (project GV/2009/102). E.A. S´anchezP´erez
was supported by Ministerio de Ciencia e Innovaci´on (Spain) (project MTM2009-14483-
C02-02). The three authors were also supported by Universidad Polit´ecnica de Valencia (project
PAID-06-08-3093).
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Type:
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Artículo
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